New fixed point theorems on order intervals and their applications

Fixexd point theory and applications

Wenying Feng¹  Guang Zhang² 

[1] Department of Mathematics, Trent University, Peterborough, Canada;School of Science, Tianjin University of Commerce, Tianjin, P.R. China

关键词: boundary value problem;    cone;    fixed point theorem;    nonlinear operator;    order interval;    positive solution;    47H10;    47H30;    34B15;    45G10;   

DOI  :  10.1186/s13663-015-0467-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we prove the existence of fixed points for nonlinear and semilinear operators on order intervals. The abstract results unified some methods in studying the existence of positive solutions for boundary and initial value problems of nonlinear difference and differential equations. Applications are shown by examples.

【 授权许可】

CC BY